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Simplifying (x + -5)(x + -4i) = 0 Reorder the terms: (-5 + x)(x + -4i) = 0 Reorder the terms: (-5 + x)(-4i + x) = 0 Multiply (-5 + x) * (-4i + x) (-5(-4i + x) + x(-4i + x)) = 0 ((-4i * -5 + x * -5) + x(-4i + x)) = 0 ((20i + -5x) + x(-4i + x)) = 0 (20i + -5x + (-4i * x + x * x)) = 0 (20i + -5x + (-4ix + x2)) = 0 Reorder the terms: (20i + -4ix + -5x + x2) = 0 (20i + -4ix + -5x + x2) = 0 Solving 20i + -4ix + -5x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5x' to each side of the equation. 20i + -4ix + -5x + 5x + x2 = 0 + 5x Combine like terms: -5x + 5x = 0 20i + -4ix + 0 + x2 = 0 + 5x 20i + -4ix + x2 = 0 + 5x Remove the zero: 20i + -4ix + x2 = 5x Add '-1x2' to each side of the equation. 20i + -4ix + x2 + -1x2 = 5x + -1x2 Combine like terms: x2 + -1x2 = 0 20i + -4ix + 0 = 5x + -1x2 20i + -4ix = 5x + -1x2 Reorder the terms: 20i + -4ix + -5x + x2 = 5x + -5x + -1x2 + x2 Combine like terms: 5x + -5x = 0 20i + -4ix + -5x + x2 = 0 + -1x2 + x2 20i + -4ix + -5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 20i + -4ix + -5x + x2 = 0 The solution to this equation could not be determined.
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